Question

A man eats \[200\] g of rice a day and he has enough rice to last him for\[\;35\] days. How long would the stock of rice last him if he were to eat \[250\] g rice a day

Answer 1

Hint:First we find how many grams he eats for \[35\] days.Then we find how many days the stock of rice, he were to eat \[250\] g rice a day.Based on direct proportion, here if we increase the quantity of rice per day then the stock will decrease.

Complete step-by-step answer:
It is given that a man eats \[200\] g of rice of a day for \[35\] days and later he starts eating \[250\]g rice a day
A man eats \[200\]g of rice a day for \[35\] days
So he eats \[35 \times 200 = 7000\]g for \[35\] days
Now, he started eating \[250\] g rice a day
1 g rice for \[\dfrac{1}{{250}}\] days
\[7000\]g rice for \[\dfrac{{7000}}{{250}}\]days
\[7000\]g rice for \[ = {\text{ }}28\]days
Therefore,\[\;28\] days would the stock of rice would be last him if he were to eat \[250\] g rice a day

Note:Direct proportion or direct variation is the relation between two quantities where the ratio of the two quantities are equal to a constant value i.e \[200\] multiply \[\;35\] to get the total quantity for \[\;35\] days.